Question

Marisa wants to buy a quality phone for least $200.She has already saved $125 and plans to save an additional $10 each week.Write an inequality that represents this

Answer 1

Answer:

The inequality can be represented as:

$10w+125\geq200$

where $w$ represents the number of weeks in which Maria will be able to buy a phone  for least $200.

On solving it we get : $w\geq 7.5$

Step-by-step explanation:

Given:

Maria wants to buy a phone for at least $200.

She has savings of $125.

She plans to save $10 every week.

To write an inequality for the situation.

Solution:

Let the number of weeks in which Maria will be able to buy a phone be = $w$

If she saves $10 each week.

Then, in $w$ weeks she will save in dollars = $10w$

She already has savings = $125

So her total savings in $w$ weeks in dollars will be = $10w+125$

She wants to buy a phone for at least $200.

Thus, the inequality can be represented as:

$10w+125\geq200$

Solving for $w$

Subtracting both sides by 125.

$10w+125-125\geq 200-125$

$10w\geq 75$

Dividing both sides by 10.

$\frac{10w}{10}\geq \frac{75}{10}$

$w\geq 7.5$

Thus Maria needs at least 7.5 weeks to be able to buy a phone for atleast $200.